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The background: vector calculus;
1. Affine spaces;
2. Curves, functions and derivatives;
3. Vector fields and flows;
4. Volumes and subspaces: exterior algebra;
5. Calculus of forms;
6. Frobenius's theorem;
7. Metrics on affine spaces;
8. Isometrics;
9. Geometry of surfaces;
10. Manifolds;
11. Connections;
12. Lie groups;
13. The tangent and cotangent bundles;
14. Fibre bundles;
15. Connections revisited.
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Add Applicable Differential Geometry, Vol. 59, This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, ga, Applicable Differential Geometry, Vol. 59 to the inventory that you are selling on WonderClubX
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Add Applicable Differential Geometry, Vol. 59, This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, ga, Applicable Differential Geometry, Vol. 59 to your collection on WonderClub |